5 citations · 6 across the 3 of their papers we have counts for
3 papers
math.DG2024★ 1 cited
Magnetic flatness and E. Hopf's theorem for magnetic systems
Valerio Assenza, James Marshall Reber, Ivo Terek
Using the notion of magnetic curvature recently introduced by the first author, we extend E. Hopf's theorem to the setting of magnetic systems. Namely, we prove that if the magneti…
math.DG2023
Codazzi tensor fields in reductive homogeneous spaces
James Marshall Reber, Ivo Terek
We extend the results about left-invariant Codazzi tensor fields on Lie groups equipped with left-invariant Riemannian metrics obtained by d'Atri in 1985 to the setting of reductiv…
math.DG2022★ 5 cited
Deformative Magnetic Marked Length Spectrum Rigidity
James Marshall Reber
Let be a closed surface and let be a smooth one-parameter family of Riemannian metrics on . Also let $\{κ_s : M \rightarrow \mathbb{R} \ | \ s…